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Finding the Fourth Proportional to 737.40, 1,106.10 and 727.80

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Solution

The fourth proportional to 737.40, 1,106.10 and 727.80 is: 1,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.40 : 1,106.10 = 727.80 : x
  2. Step 2: Convert to fraction form
    737.40/1,106.10 = 727.80/x
  3. Step 3: Cross multiply
    737.40x = 1,106.10 × 727.80
  4. Step 4: Simplify right side
    737.40x = 805,019.58
  5. Step 5: Solve for x
    x = 805,019.58/737.40
  6. Step 6: Final answer
    x = 1,091.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.